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commutative property of addition- a+b=b+a

commutative property of multiplication- aXb=bXa

associative property of addition and multiplication (a+b)+c=a+(b+c) or (aXb)Xc=aX(bXc)

distributive property of multiplication over addition a(b+c)=(aXb)+(aXc)

inverse operations for addition and multiplication a+b=c, c-a=b, c-b=a